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Finding the Third Proportional to 153,950.63 and 245,156.06

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Solution

The third proportional to 153,950.63 and 245,156.06 is: 390,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,950.63 : 245,156.06 = 245,156.06 : x
  2. Step 2: Convert to fraction form
    153,950.63/245,156.06 = 245,156.06/x
  3. Step 3: Cross multiply
    153,950.63x = 245,156.06 × 245,156.06
  4. Step 4: Simplify right side
    153,950.63x = 60,101,494,980.50
  5. Step 5: Solve for x
    x = 60,101,494,980.50/153,950.63
  6. Step 6: Final answer
    x = 390,394.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.